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Finding the Third Proportional to 75,991.50 and 130,389.75

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Solution

The third proportional to 75,991.50 and 130,389.75 is: 223,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,991.50 : 130,389.75 = 130,389.75 : x
  2. Step 2: Convert to fraction form
    75,991.50/130,389.75 = 130,389.75/x
  3. Step 3: Cross multiply
    75,991.50x = 130,389.75 × 130,389.75
  4. Step 4: Simplify right side
    75,991.50x = 17,001,486,905.06
  5. Step 5: Solve for x
    x = 17,001,486,905.06/75,991.50
  6. Step 6: Final answer
    x = 223,728.80

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.